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Simplifying 4.22x + 100 = 17.8084 + 10x Reorder the terms: 100 + 4.22x = 17.8084 + 10x Solving 100 + 4.22x = 17.8084 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 100 + 4.22x + -10x = 17.8084 + 10x + -10x Combine like terms: 4.22x + -10x = -5.78x 100 + -5.78x = 17.8084 + 10x + -10x Combine like terms: 10x + -10x = 0 100 + -5.78x = 17.8084 + 0 100 + -5.78x = 17.8084 Add '-100' to each side of the equation. 100 + -100 + -5.78x = 17.8084 + -100 Combine like terms: 100 + -100 = 0 0 + -5.78x = 17.8084 + -100 -5.78x = 17.8084 + -100 Combine like terms: 17.8084 + -100 = -82.1916 -5.78x = -82.1916 Divide each side by '-5.78'. x = 14.22 Simplifying x = 14.22
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